以动态模糊随机可靠度为参数的在役结构维修决策
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摘要
本文以模糊随机变量为基本不确定性变量,定义了在役结构的动态模糊随机可靠度。基于模糊随机变量间的序关系,建立了在役结构维修决策准则.利用模糊集合的扩张原理,建立了在役结构的动态模糊随机可靠度与模糊维修费用间的函数关系式.最后,利用结构模糊随机优化的数学方法[1,2],建立了在役结构维修方案的模糊随机优化数学模型,给出了在役结构在预防性维修策略及灾后修复策略条件下维修方案模糊随机优化数学模型的解法,得出了在役结构的最优维修模糊随机可靠度.
In this paper, by using fuzzy random variables as the basic variables, the dynamic fuzzy random reliability of existing structures is defined. The maintenance decision criteria of existing structures are established on the basis of the order relations among fuzzy random variables. By using the extension principle of fuzzy sets, the functional relation between the dynamic fuzzy random reliability and fuzzy maintenance cost of existing structures is built. Finally, by the mathematical methods of structural fuzzy random optimization[1,2], the structuralfuzzy random optimization models of maintenance scheme are built, the calculation methods of preventive and corrective maintenance scheme are given and the optimal solutions of the correspondent models are obtained.
引文
1WangGuangguanandQiaoZhong.Mathematicalmethodsofstructuralfuzzyrandomoptimization.in:ProceedingsoffirstChina-Japansymposiumonoptimizationofstructuralandmechanicalsystems,171—182,DalianUniversityofTechnloogyPress,Dalian,19942乔忠.模糊随机规划理论与结构模糊随机优化设计:[博士论文].哈尔滨:哈尔滨建筑大学图书馆,19943王光远.工程软设计理论.北京:科学出版社,19924WangGuangyuanandZhangYue.Thetheoryoffuzzystochasticprocesses.FuzzySetsandSpstems;51(1992),161~1785WangGuangyuanandQiaoZhong.Linearprogrammingwithfuzzyrandomvariablecoefficients.FuzzySetsandSystems,57(1993),295~3116王光远,刘玉彬.结构模糊随机可靠度的实用计算方法.地震工程与工程振动,1995,15(3):112~1217罗承忠.模糊集引论.北京:北京师范大学出版社,1989

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